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Lattice Sums Then and Now
ISBN: 9781107039902 / Angielski / Twarda / 390 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The study of lattice sums began when early investigators wanted to go from mechanical properties of crystals to the properties of the atoms and ions from which they were built (the literature of Madelung's constant). A parallel literature was built around the optical properties of regular lattices of atoms (initiated by Lord Rayleigh, Lorentz and Lorenz). For over a century many famous scientists and mathematicians have delved into the properties of lattices, sometimes unwittingly duplicating the work of their predecessors. Here, at last, is a comprehensive overview of the substantial body of...
The study of lattice sums began when early investigators wanted to go from mechanical properties of crystals to the properties of the atoms and ions f...
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cena:
626,79 |
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A Comprehensive Course in Number Theory
ISBN: 9781107603790 / Angielski / Miękka / 264 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Developed from the author's popular text, A Concise Introduction to the Theory of Numbers, this book provides a comprehensive initiation to all the major branches of number theory. Beginning with the rudiments of the subject, the author proceeds to more advanced topics, including elements of cryptography and primality testing, an account of number fields in the classical vein including properties of their units, ideals and ideal classes, aspects of analytic number theory including studies of the Riemann zeta-function, the prime-number theorem and primes in arithmetical progressions, a...
Developed from the author's popular text, A Concise Introduction to the Theory of Numbers, this book provides a comprehensive initiation to all the ma...
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cena:
228,77 |
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Non-Abelian Fundamental Groups and Iwasawa Theory
ISBN: 9781107648852 / Angielski / Miękka / 320 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Number theory currently has at least three different perspectives on non-abelian phenomena: the Langlands programme, non-commutative Iwasawa theory and anabelian geometry. In the second half of 2009, experts from each of these three areas gathered at the Isaac Newton Institute in Cambridge to explain the latest advances in their research and to investigate possible avenues of future investigation and collaboration. For those in attendance, the overwhelming impression was that number theory is going through a tumultuous period of theory-building and experimentation analogous to the late 19th...
Number theory currently has at least three different perspectives on non-abelian phenomena: the Langlands programme, non-commutative Iwasawa theory an...
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cena:
403,71 |
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Arithmetic of Quadratic Forms
ISBN: 9781441917317 / Angielski / Twarda / 238 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book can be divided into two parts. The ?rst part is preliminary and consists of algebraic number theory and the theory of semisimple algebras. The raison d' DEGREES etre of the book is in the second part, and so let us ?rst explain the contents of the second part. There are two principal topics: (A) Classi?cation of quadratic forms; (B) Quadratic Diophantine equations. Topic (A) can be further divided into two types of theories: (a1) Classi?cation over an algebraic number ?eld; (a2) Classi?cation over the ring of algebraic integers. To classify a quadratic form ? over an algebraic...
This book can be divided into two parts. The ?rst part is preliminary and consists of algebraic number theory and the theory of semisimple algebras. T...
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cena:
684,33 |
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Elements of Number Theory
ISBN: 9781441930668 / Angielski / Miękka / 256 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is intended to complement my Elements oi Algebra, and it is similarly motivated by the problem of solving polynomial equations. However, it is independent of the algebra book, and probably easier. In Elements oi Algebra we sought solution by radicals, and this led to the concepts of fields and groups and their fusion in the celebrated theory of Galois. In the present book we seek integer solutions, and this leads to the concepts of rings and ideals which merge in the equally celebrated theory of ideals due to Kummer and Dedekind. Solving equations in integers is the central problem...
This book is intended to complement my Elements oi Algebra, and it is similarly motivated by the problem of solving polynomial equations. However, it ...
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cena:
201,24 |
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The Music of the Primes: Why an Unsolved Problem in Mathematics Matters
ISBN: 9781841155807 / Angielski / Miękka / 368 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The paperback of the critically-acclaimed popular science book by a writer who is fast becoming a celebrity mathematician.Prime numbers are the very atoms of arithmetic. They also embody one of the most tantalising enigmas in the pursuit of human knowledge. How can one predict when the next prime number will occur? Is there a formula which could generate primes? These apparently simple questions have confounded mathematicians ever since the Ancient Greeks.In 1859, the brilliant German mathematician Bernard Riemann put forward an idea which finally seemed to reveal a magical harmony at work in...
The paperback of the critically-acclaimed popular science book by a writer who is fast becoming a celebrity mathematician.Prime numbers are the very a...
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cena:
55,31 |
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Modular Functions of One Variable II: Proceedings International Summer School, University of Antwerp, RUCA, July 17-August 3, 1972
ISBN: 9783540065586 / Angielski / Miękka / 610 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is Volume 2 of the Proceedings of the International Summer School on "Modular functions of one variable and arithmetical applications" which took place at RUCA, Antwerp University, from July 17 till August 3, 1972. It contains papers by W. Casselman, P. Deligne, R. Langlands and 1. 1. Piateckii-Shapiro. Its theme is the interplay between modular schemes for elliptic curves, and representations of GL(2). P. Deligne W. Kuyk CONTENTS W. CASSELMAN An assortment of results on represen- 1 tations of GL (k) 2 P. DELIGNE Formes mOdulaires et representations 55 de GL(2) W. CASSELMAN On...
This is Volume 2 of the Proceedings of the International Summer School on "Modular functions of one variable and arithmetical applications" which took...
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cena:
261,63 |
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Elementary Number Theory
ISBN: 9783540761976 / Angielski / Miękka / 302 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Our intention in writing this book is to give an elementary introduction to number theory which does not demand a great deal of mathematical back ground or maturity from the reader, and which can be read and understood with no extra assistance. Our first three chapters are based almost entirely on A-level mathematics, while the next five require little else beyond some el ementary group theory. It is only in the last three chapters, where we treat more advanced topics, including recent developments, that we require greater mathematical background; here we use some basic ideas which students...
Our intention in writing this book is to give an elementary introduction to number theory which does not demand a great deal of mathematical back grou...
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cena:
140,86 |
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The Pleasures of Pi, E and Other Interesting Numbers
ISBN: 9789812700797 / Angielski / Miękka / 268 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Organized into two sections, this book covers infinite series beginning with those that a young child can understand to one that even Isaac Newton, Gottfried Liebniz and the famous Bernoulli brothers could not sum.
Organized into two sections, this book covers infinite series beginning with those that a young child can understand to one that even Isaac Newton, Go...
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cena:
117,31 |
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Hecke's Theory of Modular Forms and Dirichlet Series (2nd Printing and Revisions)
ISBN: 9789812706355 / Angielski / Twarda / 156 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In 1938, at the Institute for Advanced Study, E Hecke gave a series of lectures on his theory of correspondence between modular forms and Dirichlet series. This book presents his lectures at the University of Illinois at Urbana-Champaign.
In 1938, at the Institute for Advanced Study, E Hecke gave a series of lectures on his theory of correspondence between modular forms and Dirichlet se...
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cena:
317,71 |
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Number Theory: An Elementary Introduction Through Diophantine Problems
ISBN: 9789814307468 / Angielski / Miękka / 348 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Presents an elementary introduction to number theory and its different aspects: approximation of real numbers, irrationality and transcendence problems, continued fractions, diophantine equations, quadratic forms, arithmetical functions and algebraic number theory. This textbook may be used by undergraduates and graduate students.
Presents an elementary introduction to number theory and its different aspects: approximation of real numbers, irrationality and transcendence problem...
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cena:
122,20 |
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Figurate Numbers
ISBN: 9789814355483 / Angielski / Twarda / 476 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Figurate numbers have a rich history with many applications. This book provides a complete presentation of the theory of figurate numbers, giving much of their properties, facts and theorems with full proofs.
Figurate numbers have a rich history with many applications. This book provides a complete presentation of the theory of figurate numbers, giving much...
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cena:
733,16 |
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Geometric Modular Forms and Elliptic Curves (2nd Edition)
ISBN: 9789814368643 / Angielski / Twarda / 468 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book provides a comprehensive account of the theory of moduli spaces of elliptic curves (over integer rings) and its application to modular forms. The construction of Galois representations, which play a fundamental role in Wiles' proof of the Shimura-Taniyama conjecture, is given. In addition, the book presents an outline of the proof of diverse modularity results of two-dimensional Galois representations (including that of Wiles), as well as some of the author's new results in that direction.In this new second edition, a detailed description of Barsotti-Tate groups...
This book provides a comprehensive account of the theory of moduli spaces of elliptic curves (over integer rings) and its application to modular forms...
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cena:
733,16 |
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Partitions: Optimality and Clustering - Vol II: Multi-Parameter
ISBN: 9789814412346 / Angielski / Twarda / 304 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The need for optimal partition arises from many real-world problems involving the distribution of limited resources to many users. The "clustering" problem, which has received a lot of attention, is a special case of optimal partitioning. This book attempts to collect the theoretical developments of optimal partitions.
The need for optimal partition arises from many real-world problems involving the distribution of limited resources to many users. The "clustering" pr...
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cena:
464,34 |
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Number Theory and Its Applications
ISBN: 9789814425636 / Angielski / Twarda / 208 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Emphasizes the role of symmetry and presents as many viewpoints as possible of an important phenomenon - the functional equation of the associated zeta-function. This book starts from the basics before warping into the space of new interest; from the ground state to the excited state.
Emphasizes the role of symmetry and presents as many viewpoints as possible of an important phenomenon - the functional equation of the associated zet...
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cena:
210,18 |
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The Theory of Multiple Zeta Values with Applications in Combinatorics
ISBN: 9789814472630 / Angielski / Twarda / 312 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is the first book on the theory of multiple zeta values since its birth around 1994. Readers will find that the shuffle products of multiple zeta values are applied to complicated counting problems in combinatorics, and numerous interesting identities are produced that are ready to be used. This will provide a powerful tool to deal with problems in multiple zeta values, both in evaluations and shuffle relations. The volume will benefit graduate students doing research in number theory.
This is the first book on the theory of multiple zeta values since its birth around 1994. Readers will find that the shuffle products of multiple zeta...
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cena:
488,78 |
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Computational Aerosciences in the 21st Century: Proceedings of the ICASE/LaRC/NSF/ARO Workshop, conducted by the Institute for Computer Applications in Science and Engineering, NASA Langley Research C
ISBN: 9789401038072 / Angielski / Miękka / 292 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Over the last decade, the role of computational simulations in all aspects of aerospace design has steadily increased. However, despite the many advances, the time required for computations is far too long. This book examines new ideas and methodologies that may, in the next twenty years, revolutionize scientific computing. The book specifically looks at trends in algorithm research, human computer interface, network-based computing, surface modeling and grid generation and computer hardware and architecture. The book provides a good overview of the current state-of-the-art and...
Over the last decade, the role of computational simulations in all aspects of aerospace design has steadily increased. However, despite the many adv...
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cena:
402,53 |
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Rational Number Theory in the 20th Century: From Pnt to Flt
ISBN: 9781447127154 / Angielski / Miękka / 654 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem in 1896, a quick development of analytical tools led to the invention of various new methods, like Brun's sieve method and the circle method of Hardy, Littlewood and Ramanujan; developments in topics such as prime and additive number theory, and the solution of Fermat's problem. Rational Number Theory in the 20th Century: From PNT to FLT offers a short survey of 20th century developments in classical number theory, documenting between the proof...
The last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem i...
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cena:
523,30 |
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Introduction to Algebraic and Abelian Functions
ISBN: 9781461257424 / Angielski / Miękka / 170 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Introduction to Algebraic and Abelian Functions is a self-contained presentation of a fundamental subject in algebraic geometry and number theory. For this revised edition, the material on theta functions has been expanded, and the example of the Fermat curves is carried throughout the text. This volume is geared toward a second-year graduate course, but it leads naturally to the study of more advanced books listed in the bibliography.
Introduction to Algebraic and Abelian Functions is a self-contained presentation of a fundamental subject in algebraic geometry and number theo...
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cena:
241,50 |
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Lie Theory: Lie Algebras and Representations
ISBN: 9781461264835 / Angielski / Miękka / 331 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. * First of three independent, self-contained volumes under the general title, "Lie Theory," featuring original results and survey work from renowned mathematicians. * Contains J. C. Jantzen's "Nilpotent Orbits in Representation Theory," and K.-H. Neeb's "Infinite Dimensional Groups and their Representations." * Comprehensive treatments of the relevant geometry of orbits in Lie algebras, or their duals, and the correspondence to representations. * Should benefit graduate students and researchers in mathematics and mathematical physics. * First of three independent, self-contained volumes under the general title, "Lie Theory," featuring original results and survey work from renowne... |
cena:
603,81 |
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